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Finding the Fourth Proportional to 3,505.32, 5,256.83 and 1,283.65

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Solution

The fourth proportional to 3,505.32, 5,256.83 and 1,283.65 is: 1,925.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505.32 : 5,256.83 = 1,283.65 : x
  2. Step 2: Convert to fraction form
    3,505.32/5,256.83 = 1,283.65/x
  3. Step 3: Cross multiply
    3,505.32x = 5,256.83 × 1,283.65
  4. Step 4: Simplify right side
    3,505.32x = 6,747,919.90
  5. Step 5: Solve for x
    x = 6,747,919.90/3,505.32
  6. Step 6: Final answer
    x = 1,925.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.